000 04750nam a22006135i 4500
999 _c12671
_d12671
001 978-3-319-67944-0
003 DE-He213
005 20211213105940.0
008 171128s2018 gw | s |||| 0|eng d
020 _a9783319679440
040 _cAIKTC-KRRC
041 _aENG
072 7 _aTGMD
_2bicssc
072 7 _aTEC009070
_2bisacsh
072 7 _aTGMD
_2thema
082 0 4 _a620.1
_223
100 1 _aKavallaris, Nikos I.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
245 1 0 _aNon-Local Partial Differential Equations for Engineering and Biology
_h[electronic resource] :
_bMathematical Modeling and Analysis /
250 _a1st ed. 2018.
264 1 _aCham :
_bSpringer International Publishing :
_bImprint: Springer,
_c2018.
300 _aXIX, 300 p. 23 illus., 7 illus. in color.
_bCard Paper
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aMathematics for Industry,
_x2198-350X ;
_v31
520 _aThis book presents new developments in non-local mathematical modeling and mathematical analysis on the behavior of solutions with novel technical tools. Theoretical backgrounds in mechanics, thermo-dynamics, game theory, and theoretical biology are examined in details. It starts off with a review and summary of the basic ideas of mathematical modeling frequently used in the sciences and engineering. The authors then employ a number of models in bio-science and material science to demonstrate applications, and provide recent advanced studies, both on deterministic non-local partial differential equations and on some of their stochastic counterparts used in engineering. Mathematical models applied in engineering, chemistry, and biology are subject to conservation laws. For instance, decrease or increase in thermodynamic quantities and non-local partial differential equations, associated with the conserved physical quantities as parameters. These present novel mathematical objects are engaged with rich mathematical structures, in accordance with the interactions between species or individuals, self-organization, pattern formation, hysteresis. These models are based on various laws of physics, such as mechanics of continuum, electro-magnetic theory, and thermodynamics. This is why many areas of mathematics, calculus of variation, dynamical systems, integrable systems, blow-up analysis, and energy methods are indispensable in understanding and analyzing these phenomena. This book aims for researchers and upper grade students in mathematics, engineering, physics, economics, and biology.
650 0 _aMechanical Engineering
_94626
653 _aMathematical Applications in the Physical Sciences.
653 _aComputer Appl. in Life Sciences.
653 _aPartial Differential Equations.
653 _aIndustrial Chemistry/Chemical Engineering.
700 1 _aSuzuki, Takashi.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
710 2 _aSpringerLink (Online service)
773 0 _tSpringer Nature eBook
776 0 8 _iPrinted edition:
_z9783319679426
776 0 8 _iPrinted edition:
_z9783319679433
776 0 8 _iPrinted edition:
_z9783319885155
830 0 _aMathematics for Industry,
_x2198-350X ;
_v31
856 4 0 _uhttps://doi.org/10.1007/978-3-319-67944-0
_zClick here to access eBook in Springer Nature platform. (Within Campus only.)
942 _cEBOOKS
_2ddc